3904583424 has 216 divisors, whose sum is σ = 12482201088. Its totient is φ = 1079285760.

The previous prime is 3904583407. The next prime is 3904583483. The reversal of 3904583424 is 4243854093.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1164919 + ... + 1168265.

It is an arithmetic number, because the mean of its divisors is an integer number (57787968).

Almost surely, 2^3904583424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3904583424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6241100544).

3904583424 is an abundant number, since it is smaller than the sum of its proper divisors (8577617664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3904583424 is a wasteful number, since it uses less digits than its factorization.

3904583424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3411 (or 3390 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The square root of 3904583424 is about 62486.6659696291. The cubic root of 3904583424 is about 1574.6773067291.

The spelling of 3904583424 in words is "three billion, nine hundred four million, five hundred eighty-three thousand, four hundred twenty-four".